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2x+8-3x>1
Subtract 3x from both sides.
-x+8>1
Combine 2x and -3x to get -x.
-x>1-8
Subtract 8 from both sides.
-x>-7
Subtract 8 from 1 to get -7.
x<\frac{-7}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x<7
Fraction \frac{-7}{-1} can be simplified to 7 by removing the negative sign from both the numerator and the denominator.